Acronym  dudsi 
Name 
dual of Dstellation of icosahedron, Dfaceting of dodecahedron, vertex figure of paphicki 
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Circumradius  sqrt(3)/2 = 0.866025 
Vertex figure 
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Coordinates 

General of army  vdoe 
Even so dudsi is more directly been seen as a faceting of the dodecahedron, it well can be considered dually as being related to a stellation of the icosahedron. For the latter the du Val namings of complete shells, being used in turn within the set of "the fiftynine [stellated] icosahedra", got known as a standard. The former lack such a standard. This is why the acronym is based on the dual figure.
As an abstract polyhedron dudsi is isomorph to hudsi, thereby maintaining the qedges, but replacing the vedges by fedges, resp. replacing the triangular faces from being stip vertex figures into being pip vertex figures. – It then still remains vertex inscribed into a vdoe.
20  6 3  9 ++ 2  60 *  2 q 2  * 30  2 v ++ 3  2 1  60 verf(stip)
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